… for S, meaning any collection of subsets of S for which 1)s 0gs and 2)sEG , r E gs. Obviously,
gs is the set of neighbors of s and the pair {S, g } is a graph in the usual way. A subset C C S …

… Thus, we choose 0 S 5 S 1 uniformly and set X(t + 1) = q if 5 5 q and X(t + 1) = X(t) if 5 > q. (A
'parallel processing variant' of this for simulating certain binary MRFs is given by Berger and …

… In [S] we introduced a class of image models for various tasks in digital image processing. …
some time now; we refer the reader to [S] and standard references for a detailed account of the …

Feedforward neural networks trained by error backpropagation are examples of nonparametric
regression estimators. We present a tutorial on nonparametric inference and its relation …

… Let D(t) be the direction, in degrees, of movement of the manipulator (and hence of the
monkey's hand) in time bin t + s, where s is chosen as a typical delay between motor cortex and …

This paper establishes an almost sure limit for the operator norm of rectangular random
matrices: Suppose $\{v_{ij}\}i = 1,2, \cdots, j = 1,2, \cdots$ are zero mean iid random variables …

… of S¡; we sometimes use "s" ambiguously to reference a site in SL and the corresponding site
in S¡… We establish a neighborhood system on the label lattice S[0): each se S^ is associated …

… This taxonomy is based upon one developed previously by Geman and Hwang [3] for a
similar … for which the chain elements have been labelled F or S to indicate First or Second. The …

… Let us suppose that we index all of the relevant attributes by the index set S. S is application …
Briefly, in stochastic relaxation we choose a sequence of sites s(l), s(2),... G 5 such that each …

… thatarise in image processing (Geman and Geman [4], … than binary), and Geman and
Geman have established weak … xs x is the same as if we had set s x and then defined x, G-1 …